Formula:8214

Digital Library of Mathematical Functions ID 24.11.E6

Failed to parse (Conversion error. Server ("https://wikimedia.org/api/rest_") reported: "TeX input is invalid."): {\displaystyle (-1)^{\floor{(n+1)/2}}\frac{\pi^{n+1}}{4(n!)}\EulerpolyE{n}@{x}\to\begin{cases}\sin@{\pi x},&n\text{ even},\\ \cos@{\pi x},&n\text{ odd},\end{cases}}

Symbols List

• ${\displaystyle{\displaystyle E_{\NVar{n}}\left(\NVar{x}\right)}}$:
• ${\displaystyle{\displaystyle\pi}}$: the ratio of the circumference of a circle to its diameter
• ${\displaystyle{\displaystyle\cos\NVar{z}}}$: cosine function
• ${\displaystyle{\displaystyle!}}$:
• ${\displaystyle{\displaystyle\left\lfloor\NVar{x}\right\rfloor}}$:
• ${\displaystyle{\displaystyle\sin\NVar{z}}}$: sine function
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle x}}$: real or complex
 

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